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Finding the Fourth Proportional to 492,262.66, 738,518.51 and 137,276.71

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Solution

The fourth proportional to 492,262.66, 738,518.51 and 137,276.71 is: 205,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,262.66 : 738,518.51 = 137,276.71 : x
  2. Step 2: Convert to fraction form
    492,262.66/738,518.51 = 137,276.71/x
  3. Step 3: Cross multiply
    492,262.66x = 738,518.51 × 137,276.71
  4. Step 4: Simplify right side
    492,262.66x = 101,381,391,326.90
  5. Step 5: Solve for x
    x = 101,381,391,326.90/492,262.66
  6. Step 6: Final answer
    x = 205,949.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.